偏微分方程: Partial Differential Equations. Qualitative studies of linear equations. 第2卷. II

ISBN-10
7510068142
ISBN-13
9787510068140
Series
偏微分方程
Category
Differential equations, Partial
Pages
636
Language
English
Published
2011
Authors
泰勒, Michael E. Taylor

Description

This text provides an introduction to the theory of partial differential equations. It introduces basic examples of partial differential equations, arising in continuum mechanics, electromagnetism, complex analysis and other areas, and develops a number of tools for their solution, including particularly Fourier analysis, distribution theory, and Sobolev spaces. These tools are applied to the treatment of basic problems in linear PDE, including the Laplace equation, heat equation, and wave equation, as well as more general elliptic, parabolic, and hyperbolic equations. Companion texts, which take the theory of partial differential equations further, are AMS volume 116, treating more advanced topics in linear PDE, and AMS volume 117, treating problems in nonlinear PDE. --Source other than the Library of Congress.

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